NDA || Mathematics || Co-ordinate Geometry || Ellipse || Quiz

Find which of the following point lies on the ellipse, with major axis along x-axis and passing through the points (4,3) and (6,2).

The length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin , is 6. If the distance between the foci of this ellipse is equal to the length of its minor axis, then find the equation of the ellipse.

What is the equation of the ellipse having foci and the eccentricity ?

Find the locus of the point of intersection of the perpendicular tangents to the ellipse .

What is the length of the latus rectum of the ellipse 25x² + 16y² = 400 ?